Landau gauge fixing on GPUs

Cardoso, Marco; Silva, Paulo; Bicudo, Pedro; Oliveira, Orlando

doi:10.1016/j.cpc.2012.09.007

Cited by 16 publications

(24 citation statements)

References 27 publications

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“…Linear covariant gauges on the lattice requires, not only an integration over the ensemble of configurations U µ (x) [9], but an additional integration over the N 2 c − 1 Gaussian distributed Λ m fields. For the Λ integration, we consider 50 different Λ's for each configuration U µ .…”

Section: Results and Comparison With Continuum Studies 31 Results Fomentioning

confidence: 99%

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Gauge fixing and the gluon propagator in renormalizable xi gauges

Bicudo¹,

Binosi²,

Cardoso³

et al. 2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

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Covariant R ξ gauge fixing is notoriously difficult for large lattice volumes, large ξ and small N c . We thoroughly test different convergence techniques, which allows the gauge fixing of lattice configurations with a total volume of (3.25 fm) 4 , up to ξ = 0.5. We are able to study the gluon propagator in the infrared region and its dependence on the gauge fixing parameter ξ . As expected, the longitudinal gluon dressing functions stay constant at their tree-level value ξ . Similar to the Landau gauge, the transverse R ξ gauge gluon propagators saturate at a non-vanishing value in the deep infrared for all values of ξ studied. We compare with very recent continuum studies and perform a simple analysis of the found saturation with a dynamically generated effective gluon mass.

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Section: Results and Comparison With Continuum Studies 31 Results Fomentioning

confidence: 99%

“…However, this turns out, in practice, to be very difficult in a realistic lattice! We opt to extend our fully parallel and very fast GPU codes for Landau GF [7], for a thorough optimization of all possible techniques to minimize θ . We combine three different GF techniques optimized in the Landau case [7],…”

Section: R ξ Gauge Fixing Algorithmmentioning

confidence: 99%

Gauge fixing and the gluon propagator in renormalizable xi gauges

Bicudo¹,

Binosi²,

Cardoso³

et al. 2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

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“…Whenever this condition is fulfilled (which, based on the experience of Landau GF [46], means to have θ < 10 −15 ), then the configuration can be considered to be R ξ gauge fixed.…”

Section: The R ξ Gauges Frameworkmentioning

confidence: 99%

Lattice gluon propagator in renormalizableξgauges

et al. 2015

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We study the SU(3) gluon propagator in renormalizable R ξ gauges implemented on a symmetric lattice with a total volume of (3.25 fm)4 for values of the gauge fixing parameter up to ξ = 0.5. As expected, the longitudinal gluon dressing function stays constant at its tree-level value ξ. Similar to the Landau gauge, the transverse R ξ gauge gluon propagator saturates at a nonvanishing value in the deep infrared for all values of ξ studied.

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“…[2]. The authors of [3] use the Fourier accelerated deepest descent method for gauge fixing in lattice QCD.…”

Section: Introductionmentioning

confidence: 99%